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29948996 = 22721129479
BaseRepresentation
bin111001000111…
…1110001000100
32002100120022002
41302033301010
530131331441
62545524432
7512363600
oct162176104
962316262
1029948996
11159a6140
12a043718
1362879cc
143d98500
152968b9b
hex1c8fc44

29948996 has 72 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 11242560.

The previous prime is 29948977. The next prime is 29949037. The reversal of 29948996 is 69984992.

It is a super-2 number, since 2×299489962 = 1793884722816032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62285 + ... + 62763.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 229948996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29948996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

29948996 is an abundant number, since it is smaller than the sum of its proper divisors (38998204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29948996 is a wasteful number, since it uses less digits than its factorization.

29948996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 528 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 56.

The square root of 29948996 is about 5472.5675875223. The cubic root of 29948996 is about 310.5470603901.

The spelling of 29948996 in words is "twenty-nine million, nine hundred forty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 29 44 49 58 77 98 116 154 196 203 308 319 406 479 539 638 812 958 1078 1276 1421 1916 2156 2233 2842 3353 4466 5269 5684 6706 8932 10538 13412 13891 15631 21076 23471 27782 31262 36883 46942 55564 62524 73766 93884 97237 147532 152801 194474 258181 305602 388948 516362 611204 680659 1032724 1069607 1361318 2139214 2722636 4278428 7487249 14974498 29948996